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please help me with math !!

the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.

a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.​

please help me with math the diagram shows two parallel lines OP and RQ Straight line PQ is parallel to the yaxis and O is the origin a Find the equation of the class=

Respuesta :

mhanifa

Answer:

  • a) x = 4
  • b) y = 1.25x + 15
  • c) (-12, 0)

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

It means its equation is:

  • x = 4

b) RQ is parallel to OP.

Parallel lines have equal slopes.

Find the slope of OP:

  • m = 5/4 = 1.25

RQ has slope of 1.25 and passes through (- 8, 5).

Find its equation using point-slope form:

  • y - 5 = 1.25(x - (-8))
  • y - 5 = 1.25x + 10
  • y = 1.25x + 15

c) The x-intercept is determined at y = 0:

  • 0 = 1.25x + 15
  • 1.25x = - 15
  • x = - 15/1.15
  • x = - 12

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